A note on numerically consistent initial values for high index differential-algebraic equations
(2008) In Electronic Transactions on Numerical Analysis 34. p.14-19- Abstract
- When differential-algebraic equations of index 3 or higher are solved
with backward differentiation formulas, the solution in the first few
steps can have gross errors, the solution can have gross errors in the
first few steps, even if the initial values are equal to the exact
solution and even if the step size is kept constant. This raises the
question of what are consistent initial values for the difference
equations. Here we study how to change the exact initial values into what
we call numerically consistent initial values for the implicit Euler
method.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1468235
- author
- Arévalo, Carmen LU
- organization
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- high index differential-algebraic equations, consistent initial values, higher index DAEs
- in
- Electronic Transactions on Numerical Analysis
- volume
- 34
- pages
- 14 - 19
- publisher
- Kent State University Library
- external identifiers
-
- wos:000273123000003
- scopus:74949143616
- ISSN
- 1068-9613
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- 963645f8-b7e7-49e0-846b-94446832b31a (old id 1468235)
- alternative location
- http://etna.mcs.kent.edu/vol.34.2008-2009/pp14-19.dir/pp14-19.pdf
- date added to LUP
- 2016-04-01 14:56:46
- date last changed
- 2024-01-10 10:34:01
@article{963645f8-b7e7-49e0-846b-94446832b31a, abstract = {{When differential-algebraic equations of index 3 or higher are solved <br/><br> with backward differentiation formulas, the solution in the first few <br/><br> steps can have gross errors, the solution can have gross errors in the <br/><br> first few steps, even if the initial values are equal to the exact <br/><br> solution and even if the step size is kept constant. This raises the <br/><br> question of what are consistent initial values for the difference <br/><br> equations. Here we study how to change the exact initial values into what <br/><br> we call numerically consistent initial values for the implicit Euler<br/><br> method.}}, author = {{Arévalo, Carmen}}, issn = {{1068-9613}}, keywords = {{high index differential-algebraic equations; consistent initial values; higher index DAEs}}, language = {{eng}}, pages = {{14--19}}, publisher = {{Kent State University Library}}, series = {{Electronic Transactions on Numerical Analysis}}, title = {{A note on numerically consistent initial values for high index differential-algebraic equations}}, url = {{http://etna.mcs.kent.edu/vol.34.2008-2009/pp14-19.dir/pp14-19.pdf}}, volume = {{34}}, year = {{2008}}, }